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Some results about the pseudospectral approximation of one-dimensional fourth-order problems
Authors:Daniele Funaro  Wilhelm Heinrichs
Affiliation:(1) Dipartimento di Matematica, Universit`a di Pavia, Strada Nuova 65, I-27100 Pavia, (Italy);(2) Mathematisches Institut, Universität Düsseldorf, Universitätsstrasse 1, W-4000 Düsseldorf, Germany
Abstract:
Summary We analyze the pseudospectral approximation of fourth order problems. We give convergence results in the one dimensional case. Numerical experiments are shown in two dimensions for the approximation of the rhombic plate bending problem. Eigenvalues and preconditioning are also investigated.Work performed in the research program of the Istituto di Analisi Numerica del C.N.R., Pavia (Italy)The second author has been sponsored by Deutsche Forschungsgemeinschaft, contract He 1624/1-1
Keywords:AMS(MOS): 65N35  73C02  CR: G 1.7
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